Elliptic Curve Rank Leaderboard

Curves with rank lower bound = 11

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showing 114 of 4205 curves
curve a-invariants rank torsion log N log |Δ| Faltings height naive height
#50 [0, 0, 1, -16359067, 26274178986] ≥ 11 trivial 51.25 51.25 3.04 61.51
#686 [0, 0, 0, -127265047, 551353318330] ≥ 11 trivial 51.28 54.74 3.44 67.60
#687 [0, 0, 1, -36274357, 72401493396] ≥ 11 trivial 51.31 55.03 3.31 63.83
#777 [1, 0, 1, -97954983, 366459823862] ≥ 11 trivial 51.48 56.02 3.46 66.81
#778 [0, 1, 1, -2741906470, 54779656199380] ≥ 11 trivial 51.65 65.30 4.26 76.81
#3456 [0, 0, 1, -445365697, 5911837823466] ≥ 11 trivial 51.67 64.42 4.06 72.34
#779 [1, -1, 1, -3391172427, 83084924109915] ≥ 11 trivial 51.80 68.36 4.43 77.62
#780 [0, 0, 0, -70554967, 233196593050] ≥ 11 trivial 51.81 55.28 3.39 65.87
#781 [0, 0, 0, -192733272, 1043780189985] ≥ 11 trivial 52.00 57.78 3.62 68.87
#782 [0, 0, 1, -138457897, 681816984246] ≥ 11 trivial 52.12 58.69 3.63 68.02
#1556 [0, 0, 1, -623707357, 5855834156712] ≥ 11 trivial 52.18 61.83 3.93 72.37
#783 [0, 0, 0, -83202007, 213124102810] ≥ 11 trivial 52.25 58.11 3.55 66.32
#136 [1, -1, 0, -38099014, 115877816224] ≥ 11 trivial 52.55 56.08 3.38 64.47
#145 [1, -1, 0, -103672594, 405866860144] ≥ 11 trivial 52.74 53.43 3.36 66.98
#552 [0, 0, 1, -13073767, -11170229244] ≥ 11 trivial 52.84 52.84 3.10 60.77
#137 [1, -1, 0, -41032399, 106082399089] ≥ 11 trivial 53.75 54.44 3.29 64.30
#138 [1, -1, 0, -34125664, 69523358164] ≥ 11 trivial 53.78 54.48 3.27 63.65
#139 [1, -1, 0, -56880994, 168642718624] ≥ 11 trivial 53.89 54.58 3.33 65.23
#3909 [0, -1, 1, -71678910, 360169416462] ≥ 11 trivial 58.74 58.74 3.59 66.74
#1381 [0, -1, 0, -8468249023760…, 30310747685114…] ≥ 11 ℤ/2ℤ 60.17 96.52 6.85 107.84
#1384 [0, -1, 0, -1358886867969…, 19280709927026…] ≥ 11 ℤ/2ℤ 60.17 93.52 7.20 116.15
#4058 [1, 1, 0, 12360728041642, 29933108375647…] ≥ 11 ℤ/2ℤ 64.57 96.03 6.69 103.21
#3622 [0, -1, 0, -1194691126855…, 15893653014210…] ≥ 11 ℤ/2ℤ 65.94 125.71 9.59 143.39
#3984 [0, -1, 0, -7208029236337…, 26635077865552…] ≥ 11 ℤ/2ℤ 65.94 126.24 9.25 135.22
#326 [0, -1, 0, -399667220820, 32642129216035…] ≥ 11 trivial 68.29 84.18 5.71 91.76
#3623 [1, 0, 1, -8935444839098…, 32506612226767…] ≥ 11 ℤ/2ℤ 68.38 147.43 11.30 163.25
#3982 [1, 0, 1, -6078615304318…, 41273113829342…] ≥ 11 ℤ/2ℤ 68.38 147.01 10.96 155.18
#3624 [1, 1, 0, -1576373756450…, 75992679853079…] ≥ 11 ℤ/2ℤ 68.68 124.54 9.25 137.32
#3986 [1, 1, 0, -1388678595957…, 12271669240718…] ≥ 11 ℤ/2ℤ 68.68 122.57 8.90 130.03
#3625 [1, 1, 0, -6281940124414…, 17542421764898…] ≥ 11 ℤ/2ℤ 68.70 125.28 9.18 134.56
#3985 [1, 1, 0, -6133096345249…, 18486894505181…] ≥ 11 ℤ/2ℤ 68.70 116.09 8.83 134.49
#3626 [1, 1, 0, -1089019109707…, 13664254157182…] ≥ 11 ℤ/2ℤ 69.64 131.94 9.80 143.12
#3983 [1, 1, 0, -1311514981363…, -2445315301606…] ≥ 11 ℤ/2ℤ 69.64 129.11 9.45 136.77
#3627 [1, 0, 0, -5572586182117…, 44326406193276…] ≥ 11 ℤ/2ℤ 69.93 142.60 10.56 150.05
#3980 [1, 0, 0, -9063398804234…, 10365657026340…] ≥ 11 ℤ/2ℤ 69.93 145.27 10.91 156.38
#3628 [1, 0, 0, -1379985969250…, 19254614592101…] ≥ 11 ℤ/2ℤ 70.06 133.33 9.89 143.83
#3981 [1, 0, 0, -3203199999473…, -4229942764464…] ≥ 11 ℤ/2ℤ 70.06 138.44 10.24 146.35
#344 [1, -1, 1, -2170332799426…, 38217297474283…] ≥ 11 trivial 71.62 106.77 7.69 117.55
#1195 [1, 0, 0, -1938140500023…, 32840137866325…] ≥ 11 ℤ/3ℤ 77.19 169.60 13.20 186.29
#1202 [0, 1, 0, -4841195896937…, 12925635676335…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 79.14 162.67 12.42 175.22
#1375 [0, 1, 0, -7739356160225…, 82871530290372…] ≥ 11 ℤ/2ℤ 79.14 158.43 12.76 183.54
#2087 [0, 1, 0, -4409617792349…, -1312725369424…] ≥ 11 ℤ/2ℤ 79.14 160.58 12.07 168.04
#2088 [0, 1, 0, -2692576074865…, 24460666158778…] ≥ 11 ℤ/2ℤ 79.14 168.99 12.76 176.49
#33 [0, 1, 0, -1033620669162…, 40420462114230…] ≥ 11 ℤ/2ℤ 82.27 121.97 9.10 136.05
#2019 [0, 1, 0, -1252663771253…, 22042752770562…] ≥ 11 ℤ/2ℤ 82.27 128.99 9.44 136.63
#3598 [1, -1, 0, -1016169161922…, 12464279528163…] ≥ 11 ℤ/4ℤ 84.14 210.93 16.55 225.80
#3978 [1, -1, 0, -7252203858536…, 13588867949539…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 84.14 210.03 16.20 217.88
#1245 [1, 1, 1, -4038651958999…, 30461833572389…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 85.09 184.94 14.19 195.40
#2017 [1, 1, 1, -6417061776794…, 19785732211482…] ≥ 11 ℤ/2ℤ 85.09 182.81 14.54 203.70
#3518 [1, 1, 1, -7671715934167…, 81782853545083…] ≥ 11 ℤ/4ℤ 86.19 208.42 16.42 224.96
#3979 [1, 1, 1, -5090212997558…, 11115122109289…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 86.19 208.37 16.08 216.82
#1803 [0, 1, 0, -3383044565362…, 75737263950801…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 88.23 220.96 17.80 243.23
#2018 [0, 1, 0, -5412871027899…, 48471854131582…] ≥ 11 ℤ/2ℤ 88.23 207.00 18.14 251.54
#3143 [0, 1, 0, -1621126547570…, 23851513456705…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 89.73 245.06 19.18 254.83
#3702 [1, 0, 0, -3809385349733…, 88199784154175…] ≥ 11 ℤ/4ℤ 90.08 219.32 17.05 229.77
#3977 [1, 0, 0, -8971274392553…, -2021208100120…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 90.08 224.40 17.40 232.34
#3155 [1, 0, 1, -4404744507569…, 11235970010682…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 90.51 244.52 19.27 257.83
#1098 [0, -1, 0, -2898873654461…, 20921846641378…] ≥ 11 ℤ/4ℤ 91.34 240.67 18.79 249.86
#2016 [0, -1, 0, -2979702126501…, 19797146077964…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 91.34 231.58 18.44 249.75
#3154 [1, 1, 0, -3857107159141…, 92080247327630…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 91.61 216.41 16.93 229.80
#3150 [0, -1, 0, -5016358898689…, 56737927985190…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 91.80 222.95 17.27 230.59
#3147 [1, 0, 0, -3833747175804…, 28793896755295…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 92.70 224.25 17.54 236.69
#3703 [1, -1, 0, -7611294031803…, 25157222715082…] ≥ 11 ℤ/4ℤ 93.46 234.73 18.36 245.66
#3976 [1, -1, 0, -9785338624630…, -5825826861087…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 93.46 231.77 18.01 239.50
#3163 [1, -1, 0, -4536184139377…, 11775693851525…] ≥ 11 ℤ/3ℤ 94.31 189.32 14.67 202.66
#34 [0, 1, 0, -1153065301657…, 30495001386492…] ≥ 11 ℤ/2ℤ 94.87 142.21 10.55 150.20
#2020 [0, 1, 0, 33988095895545…, 21174748052513…] ≥ 11 ℤ/2ℤ 94.87 146.56 10.90 153.44
#1086 [1, -1, 0, -2125227664065…, 93862752410868…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 94.94 198.87 15.29 207.29
#1200 [1, -1, 0, 29623980979938…, 89863482554189…] ≥ 11 ℤ/2ℤ 94.94 195.06 14.94 202.12
#1922 [1, 1, 1, -1092009163246…, 43765149405799…] ≥ 11 ℤ/4ℤ 96.05 234.35 18.38 246.74
#2015 [1, 1, 1, -1634335456255…, -4263958956315…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 96.05 240.49 18.73 247.95
#3920 [1, -1, 1, -7415316186790…, 74948565838956…] ≥ 11 ℤ/3ℤ 96.15 214.74 16.66 224.86
#3131 [0, 1, 0, -1099860544040…, 14037140715375…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 96.39 238.26 18.85 253.67
#3156 [0, 1, 0, -9815797255264…, 17173523831080…] ≥ 11 ℤ/4ℤ 96.39 245.97 19.20 254.07
#3144 [0, -1, 0, -1195364158708…, 15823209428289…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 96.85 228.10 17.85 240.10
#3141 [0, 0, 0, -6471600729124…, -9171220409133…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 97.38 237.72 18.50 245.17
#3162 [0, 0, 0, -7101645059837…, 72620199964540…] ≥ 11 ℤ/4ℤ 97.38 239.80 18.85 252.36
#3129 [0, 0, 0, -8802744070494…, -4694350735969…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 97.82 245.55 19.15 253.00
#3151 [0, 0, 0, -9443503407019…, 35198221052740…] ≥ 11 ℤ/4ℤ 97.82 247.71 19.50 260.12
#3140 [1, 0, 0, -2190459048555…, 95841086501916…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 98.25 268.11 21.05 276.46
#3159 [1, 0, 0, -2046128832176…, 11264588019995…] ≥ 11 ℤ/4ℤ 98.25 259.99 20.71 276.26
#3138 [1, 1, 1, -1298081697342…, 27359690701187…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 99.29 260.51 20.40 267.98
#3158 [1, 1, 1, -9616802040765…, 11458141648950…] ≥ 11 ℤ/4ℤ 99.29 254.00 20.05 267.08
#3135 [1, 0, 0, -1338030238082…, 18838529738538…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 99.41 254.92 20.92 281.89
#3153 [1, 0, 0, -8359895892458…, 29455847563502…] ≥ 11 ℤ/4ℤ 99.41 260.09 20.58 273.57
#3132 [1, 0, 1, -3548818984538…, -1458326273185…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 102.16 256.25 20.05 264.09
#3149 [1, 0, 1, -2560843813858…, 48850271826555…] ≥ 11 ℤ/4ℤ 102.16 259.37 20.40 270.02
#3161 [0, 0, 0, -2902707625457…, 19045970977668…] ≥ 11 ℤ/3ℤ 104.72 207.82 16.26 222.04
#3125 [1, 1, 1, -2367132372723…, 32479411170253…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 105.35 261.56 20.51 269.79
#3148 [1, 1, 1, -2186722332011…, 39354506601874…] ≥ 11 ℤ/4ℤ 105.35 253.59 20.16 269.55
#3145 [0, 0, 0, -3156315035076…, 20722280537558…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 105.91 226.11 17.60 236.11
#3921 [1, 0, 0, -5809364123993…, 52989190755605…] ≥ 11 ℤ/3ℤ 106.25 227.08 17.72 237.94
#3121 [1, 0, 0, -1894034708782…, -2496501670359…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 107.05 274.51 21.59 282.93
#3142 [1, 0, 0, -6154113222947…, 55387192211873…] ≥ 11 ℤ/4ℤ 107.05 269.91 21.24 279.56
#3927 [1, 0, 0, -1686722051765…, 84297295574391…] ≥ 11 ℤ/3ℤ 109.16 232.91 18.39 248.05
#3928 [1, 0, 0, -4316833893508…, 36932800288674…] ≥ 11 ℤ/3ℤ 110.69 241.48 18.87 251.00
#3115 [1, -1, 1, -3997414369222…, -9348559961038…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 111.37 302.78 23.99 312.80
#3133 [1, -1, 1, -6733405851080…, 48003254557985…] ≥ 11 ℤ/4ℤ 111.37 299.29 23.65 307.46
#3118 [1, 0, 0, -1459970401640…, 32098730158685…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 112.19 295.17 23.29 302.87
#3139 [1, 0, 0, -1234140270416…, 52744760628030…] ≥ 11 ℤ/4ℤ 112.19 288.00 22.95 302.37
#3117 [1, 0, 0, -2190639029781…, 90833572392673…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 113.33 303.49 23.98 311.00
#3136 [1, 0, 0, -1680730071967…, 26485415853243…] ≥ 11 ℤ/4ℤ 113.33 296.84 23.64 310.20
#3922 [1, 0, 1, -3144973862166…, 37658874194248…] ≥ 11 ℤ/3ℤ 113.49 235.55 18.32 243.01
#3114 [1, 1, 1, -2475534555539…, 44636253372774…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 116.31 315.55 25.05 325.18
#3128 [1, 1, 1, -2435109968648…, 46251325990521…] ≥ 11 ℤ/4ℤ 116.31 305.97 24.70 325.13
#3165 [0, 0, 1, 0, 44182596082121…] ≥ 11 ℤ/3ℤ 118.99 234.69 18.24 242.15
#3111 [1, -1, 1, -9978029353641…, 12131151121741…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 126.40 332.93 26.83 350.09
#3124 [1, -1, 1, -5955267645195…, 20740471281776…] ≥ 11 ℤ/4ℤ 126.40 333.19 26.49 341.95
#3112 [1, 0, 0, -1028123648126…, 12167508463723…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 126.99 326.39 25.96 336.36
#3126 [1, 0, 0, -1016348547453…, 12471286206505…] ≥ 11 ℤ/4ℤ 126.99 316.45 25.61 336.33
#3110 [1, -1, 1, -3410282886319…, 11958344258090…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 128.54 332.48 26.40 339.96
#3122 [1, -1, 1, -2531176936083…, 48928612825281…] ≥ 11 ℤ/4ℤ 128.54 325.96 26.05 339.06
#3108 [1, -1, 1, -1060782949216…, 42051980299575…] ≥ 11 ℤ/2ℤ × ℤ/2ℤ 139.11 365.44 29.67 384.81
#3120 [1, -1, 1, -6530796764529…, 67765566660616…] ≥ 11 ℤ/4ℤ 139.11 366.81 29.32 376.55